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This exercise uses the radioactive decay model. The half-life of cesium-137 is 30 years. Suppose we have a 12-g sample. (a) Find a function m(t) = mo2¬t/h that models the mass remaining after t years. %3D m(t) = (b) Find a function m(t) = moe-rt that models the mass remaining after t years. (Round your r value to four decimal places.) m(t) = (c) How much of the sample will remain after 79 years? (Round your answer to one decimal place.) (d) After how many years will only 4 g of the sample remain? (Round your answer to the nearest whole number.) yr Need Help? Read It Talk to a Tutor

This exercise uses the radioactive decay model. The half-life of cesium-137 is 30 years. Suppose we have a 12-g sample. (a) Find a function m(t) = mo2¬t/h that models the mass remaining after t years. %3D m(t) = (b) Find a function m(t) = moe-rt that models the mass remaining after t years. (Round your r value to four decimal places.) m(t) = (c) How much of the sample will remain after 79 years? (Round your answer to one decimal place.) (d) After how many years will only 4 g of the sample remain? (Round your answer to the nearest whole number.) yr Need Help? Read It Talk to a Tutor

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 13CC
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This exercise uses the radioactive decay model. The half-life of cesium-137 is 30 years. Suppose we have a 12-g sample. (a) Find a function m(t) = mo2¬t/h that models the mass remaining after t years. %3D m(t) = (b) Find a function m(t) = moe-rt that models the mass remaining after t years. (Round your r value to four decimal places.) m(t) = (c) How much of the sample will remain after 79 years? (Round your answer to one decimal place.) (d) After how many years will only 4 g of the sample remain? (Round your answer to the nearest whole number.) yr Need Help? Read It Talk to a Tutor
Transcribed Image Text:This exercise uses the radioactive decay model. The half-life of cesium-137 is 30 years. Suppose we have a 12-g sample. (a) Find a function m(t) = mo2¬t/h that models the mass remaining after t years. %3D m(t) = (b) Find a function m(t) = moe-rt that models the mass remaining after t years. (Round your r value to four decimal places.) m(t) = (c) How much of the sample will remain after 79 years? (Round your answer to one decimal place.) (d) After how many years will only 4 g of the sample remain? (Round your answer to the nearest whole number.) yr Need Help? Read It Talk to a Tutor
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